Professor of Mathematics

Department of Mathematics

University of North Florida

Jacksonville, FL 32224

(904) 620-2653

dbell@unf.edu

EducationB.Sc. University of Manchester, 1976

M.Sc. University of Manchester, 1977

Ph.D. University of Warwick, 1982

Area of Research

Stochastic analysis and related areas of mathematics.In particular: Borel measures on vector spaces. Stochastic differential equations and Malliavin calculus. Partial differential equations, hypoellipticity theory and boundary-value problems. Stochastic differential geometry. Biological and financial models.

Selected Publications

- A quasi-invariance theorem for measures on Banach spaces
.Trans. Amer. Math. Soc.290(1985) 851-855.The Malliavin Calculus.Pitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 34.Longman, Essex; Wiley, NY, 1987 (second edition published by Dover, 2006).- The Malliavin calculus and stochastic delay equations (with S. Mohammed)
.J. Funct. Anal.99(1991) 75-99.- An extension of Hormander's theorem for infinitely degenerate second-order operators (with S. Mohammed)
.Duke Math. J.78 (1995) 453 - 475.- The Gauss-Bonnet theorem for vector bundles
.J. Geom.85no. 1-2 (2006) 15-21.- Divergence theorems in path space III: hypoelliptic diffusions and beyond.
J. Funct. Anal.252, no. 1 (2007) 232-253.

Publications (with links to on-line papers)

Talks

Grants and Awards

Pictures

Short Stories

Math Jokes

Office HoursSpring 2017 (at Kansas University)

Monday 1:00 pm - 2:00 pm

Tuesday 1:00 pm - 2:00 pm

Thursday 1:00 pm - 2:00 pm